209980 has 12 divisors (see below), whose sum is σ = 441000. Its totient is φ = 83984.

The previous prime is 209977. The next prime is 209983. The reversal of 209980 is 89902.

209980 = T₁₀₃ + T₁₀₄ + ... + T₁₃₂.

It is a happy number.

209980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (209977) and next prime (209983).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5230 + ... + 5269.

It is an arithmetic number, because the mean of its divisors is an integer number (36750).

2²⁰⁹⁹⁸⁰ is an apocalyptic number.

209980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209980 is an abundant number, since it is smaller than the sum of its proper divisors (231020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

209980 is a wasteful number, since it uses less digits than its factorization.

209980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10508 (or 10506 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 209980 is about 458.2357471870. The cubic root of 209980 is about 59.4373325084.

It can be divided in two parts, 20 and 9980, that added together give a 4-th power (10000 = 10⁴).

The spelling of 209980 in words is "two hundred nine thousand, nine hundred eighty".